Given numbers are 130,480,346,278

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 130,480,346,278 is 150053280.

Find LCM of 130,480,346,278 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 13 x 48 x 173 x 139 = 150053280

Therefore, the lowest common multiple of 130,480,346,278 is 150053280.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

130 x 480 x 346 x 278 = 6002131200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

130 : 1, 2, 5, 10, 13, 26, 65, 130

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

346 : 1, 2, 173, 346

278 : 1, 2, 139, 278

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,480,346,278, is 2.

Now, the common factors can be found like this.

130:2x 5x 13

480:2x 2x 2x 2x 2x 3x 5

346:2x 173

278:2x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 5 = 20

Therefore, the value for common factors is 20.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 6002131200/(2x20)

LCM = 6002131200/40

LCM = 150053280

Thus, we can understand that the LCM of 130,480,346,278 is 150053280.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 935, 300, 197, 828
• LCM of 906, 310, 104, 844
• LCM of 678, 434, 765, 479
• LCM of 384, 425, 749, 615
• LCM of 673, 218, 150, 460

1. What is the LCM of 130, 480, 346, 278?

Answer: LCM of 130, 480, 346, 278 is 150053280.

2. How to calculate the LCM of 130, 480, 346, 278?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 130, 480, 346, 278.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.